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References
Dunford, N., and Schwartz, J.T.: Linear Operators. Part II: Spectral Theory. Interscience Pub. Co.: New York 1963.
Fattorini, H.O., and Russell, D.L.: Exact Controllability Theorems for Linear Parabolic Equations in One Space Dimension. Arch. Rat. Mech. Anal. 4 (1971), 272–292.
Fattorini, H.O., and Russell, D.L.: Uniform Bounds on Biorthogonal Functions for Real Exponentials with an Application to the Control Theory of Parabolic Equations. Quart. Appl. Math. 32 (1974), 45–69.
Gal'chuk, L.J.: Optimal Control of Systems Described by Parabolic Equations. SIAM J. Control 7 (1969), 546–558.
Kaczmarc, S. und Steinhaus, H.: Theorie der Orthogonal-reihen. Monografje Matematyczne, Tom VI., Warsaw — Lwow 1935.
Krabs, W.: Optimal Control of Processes Governed by Partial Differential Equations. Part I: Heating Processes. ZOR 26 (1982), 21–48.
Krabs, W., and Sachs, E.: Controllability of Distributed Parameter Systems. ZAMM 59 (1979), T103–T105.
Sachs, E., and Schmidt, E.H.P.G.: On Reachable States in Boundary Control for the Heat Equation and an Associated Moment Problem. Appl. Math. Optim. 7 (1989), 225–232.
Schmidt, E.H.P.G.: Boundary Control for the Heat Equation with Steady State Targets. SIAM J. Control and Optimization 18 (1980), 145–154.
Schmidt, E.H.P.G.: The "Bang-Bang"-Principle for the Time-Optimal Problem in Boundary Control of the Heat Equation. SIAM J. Control and Optimization 18 (1980), 101–107.
Schwartz, L.: Etude de Somme D'exponentielles. Hermann: Paris 1959.
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© 1992 Springer-Verlag
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(1992). Optimal control of heating processes. In: Krabs, W. (eds) On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes. Lecture Notes in Control and Information Sciences, vol 173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0039516
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DOI: https://doi.org/10.1007/BFb0039516
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